Finding the Third Proportional to 29,784 and 65,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,784 : 65,494.50 = 65,494.50 : x
2. Step 2: Convert to fraction form
   29,784/65,494.50 = 65,494.50/x
3. Step 3: Cross multiply
   29,784x = 65,494.50 × 65,494.50
4. Step 4: Simplify right side
   29,784x = 4,289,529,530.25
5. Step 5: Solve for x
   x = 4,289,529,530.25/29,784
6. Step 6: Final answer
   x = 144,021.27